Which of the following fractions expressed in the form

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Which of the following fractions expressed in the form P/Q is most nearly approximated by the decimal PQ, where P in the tenths' digit and Q is the hundredths' digit?

A. 1/8

B. 2/9

C. 3/4

D. 4/5

E. 8/9

[spoiler]OA=E[/spoiler].

I don't understand this PS question. Could someone explain me the answer? thank you!!

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by [email protected] » Sat Mar 17, 2018 6:53 pm
Hi Gmat_mission,

We're asked which of the following fractions expressed in the form P/Q is most nearly approximated by the decimal PQ, where P in the tenths' digit and Q is the hundredths' digit. This question can be solved with some 'brute force' arithmetic. We're asked to find the answer that most closely matches the decimal 'conversion' that's described.

Answer A: 1/8
1/8 = .125 vs .18

Answer B: 2/9
2/9 = .222 vs .29

Answer C: 3/4
3/4 = .75 vs .34

Answer D: 4/5
4/5 = .8 vs .45

Answer E: 8/9
8/9 = .888 vs .89

Comparing the respective 'pairs' of decimals, one answer stands out as having two numbers that are an approximation of one another...

Final Answer: E

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PQ

by GMATGuruNY » Sun Mar 18, 2018 3:06 am
Gmat_mission wrote:Which of the following fractions expressed in the form P/Q is most nearly approximated by the decimal PQ, where P in the tenths' digit and Q is the hundredths' digit?

A. 1/8

B. 2/9

C. 3/4

D. 4/5

E. 8/9
P/Q ≈ 0.PQ
P/Q ≈ (PQ)/100
100P ≈ Q * PQ

The correct value for P/Q must satisfy the approximation in blue.

A: 100*1 ≈ 8*18
B: 100*2 ≈ 9*29
C. 100*3 ≈ 4*34
D. 4*100 ≈ 5*45
E: 8*100 ≈ 9*89

Only E yields a valid approximation.

The correct answer is E.
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by [email protected] » Fri May 24, 2019 3:12 pm
Gmat_mission wrote:Which of the following fractions expressed in the form P/Q is most nearly approximated by the decimal PQ, where P in the tenths' digit and Q is the hundredths' digit?

A. 1/8

B. 2/9

C. 3/4

D. 4/5

E. 8/9

[spoiler]OA=E[/spoiler].

Analyzing our answers, we have:

A) 1/8 = 0.125 and 0.18

B) 2/9 = 0.222... and 0.29

C) 3/4 = 0.75 and 0.34

D) 4/5 = 0.8 and 0.45

E) 8/9 = 0.888... and 0.89

Since 0.88 and 0.89 are closest to each other, the answer is E.

Answer: E

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